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23022880 = 255373889
BaseRepresentation
bin101011111010…
…0110100100000
31121022200110021
41113310310200
521343213010
62141243224
7366456046
oct127646440
947280407
1023022880
1111aa5481
127863514
134a0130a
1430b4396
15204b8da
hex15f4d20

23022880 has 48 divisors (see below), whose sum is σ = 55875960. Its totient is φ = 8957952.

The previous prime is 23022859. The next prime is 23022887. The reversal of 23022880 is 8822032.

23022880 = T37 + T38 + ... + T516.

It can be written as a sum of positive squares in 4 ways, for example, as 22695696 + 327184 = 4764^2 + 572^2 .

It is not an unprimeable number, because it can be changed into a prime (23022887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3976 + ... + 7864.

Almost surely, 223022880 is an apocalyptic number.

23022880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23022880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27937980).

23022880 is an abundant number, since it is smaller than the sum of its proper divisors (32853080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23022880 is a wasteful number, since it uses less digits than its factorization.

23022880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3941 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 23022880 is about 4798.2163352646. The cubic root of 23022880 is about 284.4809677132.

The spelling of 23022880 in words is "twenty-three million, twenty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 3889 5920 7778 15556 19445 31112 38890 62224 77780 124448 143893 155560 287786 311120 575572 622240 719465 1151144 1438930 2302288 2877860 4604576 5755720 11511440 23022880